基于LMI方法的板形板厚综合系统的H_∞跟踪控制器设计  

H_∞ Servo Controller Design of Strip Flatness and Gauge Complex Control Based on LMI Technology

作　　者：王莉[1] 王粉花[1] 孙一康[1] 

机构地区：[1]北京科技大学信息工程学院,北京100083

出　　处：《计算机仿真》2004年第2期78-81,156,157,共6页Computer Simulation

摘　　要：针对板带材轧制是一个复杂的非线性过程,板形控制(AFC)和板厚控制(AGC)又是相互耦合的一个综合系统等特点,该文建立了工作点线性化的冷连轧板形板厚离散化状态空间模型;将H∞跟踪控制问题转化为标准的H∞控制问题,并应用LMI(LinearMatrixInequality)方法设计了板形板厚H∞跟踪控制器。仿真结果证明了此H∞控制系统具有良好的鲁棒稳定性、自适应跟随和抗扰性能,其控制效果优于传统的解耦PID控制。Strip rolling is a very complicated nonlinear process, and characterized by coupling between automatic flatness control (AFC) and automatic gauge control(AGC). This paper constructs a complex linearized discrete-time state-space model of flatness and gauge based on working points. Meanwhile, in order to design the H_∞ servo controller, H_∞ servo problem is modified as an usual H_∞ control problem, and this modified problem can be solved by using LMI (Linear Matrix Inequality) method. The simulation results show that this kind of new controller has good performances of robust stability, adaptive target tracking and disturbance resisting and is superior to the conventional decoupled PID control in improving the strip flatness and gauge accuracy.

关 键 词：板形板厚综合系统 H∞跟踪控制器 设计 LMI方法 板带材轧制 自适应控制 

分 类 号：TG334.9[金属学及工艺—金属压力加工]